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Finding the Fourth Proportional to 1,959.69, 2,699.02 and 1,539.41

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Solution

The fourth proportional to 1,959.69, 2,699.02 and 1,539.41 is: 2,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.69 : 2,699.02 = 1,539.41 : x
  2. Step 2: Convert to fraction form
    1,959.69/2,699.02 = 1,539.41/x
  3. Step 3: Cross multiply
    1,959.69x = 2,699.02 × 1,539.41
  4. Step 4: Simplify right side
    1,959.69x = 4,154,886.81
  5. Step 5: Solve for x
    x = 4,154,886.81/1,959.69
  6. Step 6: Final answer
    x = 2,120.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.